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NCERT Class XII Mathematics Chapter - - Solutions

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Find the following integrals in Exercises 6 to 20.
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Question : 13 of 271
Marks: +1, -0
∫x3−x2+x−1x−1dx\int \frac{x^3 - x^2 + x - 1}{x-1} dx
Solution:  
Let I=∫x3−x2+x−1x−1dxI = \int \frac{x^3 - x^2 + x - 1}{x-1} dx =x2(x−1)+(x−1)x−1dx= \frac{x^2(x-1) + (x-1)}{x-1} dx
∫(x2+1)dx\int (x^2+1) dx =x33+x+C= \frac{x^3}{3} + x + C
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